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Sigma KEE - trichotomizingOn
trichotomizingOn

appearance as argument number 1
-------------------------


(documentation trichotomizingOn ChineseLanguage "一个 BinaryRelation ?REL 在一个 SetOrClass 属于三分关系,除非对于这个 SetOrClass 所有的 ?INST1 和 ?INST2 的实例, 起码任何以下一个 (?REL ?INST1 ?INST2),(?REL ?INST2 ?INST1) 或 (equal ?INST1 ?INST2) 是真的。") chinese_format.kif 2051-2054
(documentation trichotomizingOn EnglishLanguage "A BinaryRelation ?REL is trichotomizing on a SetOrClass only if, for all instances ?INST1 and ?INST2 of the SetOrClass, at least one of the following holds: (?REL ?INST1 ?INST2), (?REL ?INST2 ?INST1) or (equal ?INST1 ?INST2).") Merge.kif 3431-3434
(domain trichotomizingOn 1 BinaryRelation) Merge.kif 3428-3428
(domain trichotomizingOn 2 SetOrClass) Merge.kif 3429-3429
(instance trichotomizingOn AsymmetricRelation) Merge.kif 3427-3427
(instance trichotomizingOn BinaryPredicate) Merge.kif 3426-3426

appearance as argument number 2
-------------------------


(format ChineseLanguage trichotomizingOn "%1 %n 是 %2 的 trichotomizingOn ") chinese_format.kif 195-195
(format EnglishLanguage trichotomizingOn "%1 is %n trichotomizing on %2") english_format.kif 199-199
(termFormat ChineseLanguage trichotomizingOn "trichotomizing") domainEnglishFormat.kif 59131-59131
(termFormat ChineseLanguage trichotomizingOn "含三分律关系") chinese_format.kif 196-196
(termFormat ChineseTraditionalLanguage trichotomizingOn "trichotomizing") domainEnglishFormat.kif 59130-59130
(termFormat EnglishLanguage trichotomizingOn "trichotomizing on") domainEnglishFormat.kif 59129-59129

antecedent
-------------------------


(=>
    (and
        (trichotomizingOn ?RELATION ?CLASS)
        (instance ?RELATION Predicate))
    (forall (?INST1 ?INST2)
        (=>
            (and
                (instance ?INST1 ?CLASS)
                (instance ?INST2 ?CLASS))
            (or
                (?RELATION ?INST1 ?INST2)
                (?RELATION ?INST2 ?INST1)
                (equal ?INST1 ?INST2)))))
Merge.kif 3436-3448

consequent
-------------------------


(<=>
    (totalOrderingOn ?RELATION ?CLASS)
    (and
        (partialOrderingOn ?RELATION ?CLASS)
        (trichotomizingOn ?RELATION ?CLASS)))
Merge.kif 3420-3424